Magic of infinity

Algebra Level 3

\(y\) is real number

\[ \sqrt { { a }^{ 2 }+a+\sqrt { { a }^{ 2 }+a+\sqrt { { a }^{ 2 }+a+\sqrt { { a }^{ 2 }+a+\sqrt { { a }^{ 2 }+a\dots } } } } } =y\]

Find \(y^{2}\) when \(a^{ 2 } = 10000\)

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